Toric rings and ideals of nested configurations

Details Toric rings and ideals of nested configurations Toric rings and ideals of nested configurations

2009-07-19

arxiv.org/abs/0907.3253v3

Journal of Commutative Algebra 2 (2010), 187--208

Mathematics

Commutative Algebra

15 pages, title changed, presentation improved in Introduction etc

Scientific paper

The toric ring together with the toric ideal arising from a nested
configuration is studied, with particular attention given to the algebraic
study of normality of the toric ring as well as the Gr\"obner bases of the
toric ideal. One of the combinatorial applications of these algebraic findings
leads to insights on smooth $3 \times 3$ transportation polytopes.

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